Number

772

772 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 772 AD

Calendar year

Year 772 (DCCLXXII) was a leap year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 772 BC

Decade

This article concerns the period 779 BC – 770 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 772
Ended on: Sunday
December 31, 772
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 770s
770–779
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,254
1254 years before 2026.

In other calendars

Hebrew: 4532 / 4533 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 155 / 156 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1315 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 150 / 151 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 764 / 765 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 694 / 693 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 16
Digit product: 98
Digital root: 7
Palindrome: No
Bit width: 10 bits
Reversed: 277
Recamán's sequence: a(887) = 772
Square (n²): 595,984
Cube (n³): 460,099,648
Divisor count: 6
σ(n) — sum of divisors: 1,358
φ(n) — Euler's totient: 384
Sum of prime factors: 197

Primality

Prime factorization: 2 ² × 193

Nearest primes: 769 (−3) · 773 (+1)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 193 · 386 (half) · 772

Aliquot sum (sum of proper divisors): 586

Factor pairs (a × b = 772)

1 × 772

2 × 386

4 × 193

First multiples

772 · 1,544 (double) · 2,316 · 3,088 · 3,860 · 4,632 · 5,404 · 6,176 · 6,948 · 7,720

Sums & aliquot sequence

As a sum of two squares: 14² + 24²

As consecutive integers: 93 + 94 + … + 100

Aliquot sequence: 772 → 586 → 296 → 274 → 140 → 196 → 203 → 37 → 1 → 0 — terminates at zero

Representations

In words: seven hundred seventy-two
Ordinal: 772nd
Roman numeral: DCCLXXII
Binary: 1100000100
Octal: 1404
Hexadecimal: 0x304
Base64: AwQ=
One's complement: 64,763 (16-bit)

In other bases

ternary (3) 1001121

quaternary (4) 30010

quinary (5) 11042

senary (6) 3324

septenary (7) 2152

nonary (9) 1047

undecimal (11) 642

duodecimal (12) 544

tridecimal (13) 475

tetradecimal (14) 3d2

pentadecimal (15) 367

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ψοβʹ
Mayan (base 20): 𝋡·𝋲·𝋬
Chinese: 七百七十二
Chinese (financial): 柒佰柒拾貳

In other modern scripts

Eastern Arabic ٧٧٢ Devanagari ७७२ Bengali ৭৭২ Tamil ௭௭௨ Thai ๗๗๒ Tibetan ༧༧༢ Khmer ៧៧២ Lao ໗໗໒ Burmese ၇၇၂

Digit at this position in famous constants

π — Pi (π): Digit 772 = 2
e — Euler's number (e): Digit 772 = 5
φ — Golden ratio (φ): Digit 772 = 2
√2 — Pythagoras's (√2): Digit 772 = 7
ln 2 — Natural log of 2: Digit 772 = 2
γ — Euler-Mascheroni (γ): Digit 772 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 772, here are decompositions:

3 + 769 = 772
11 + 761 = 772
29 + 743 = 772
53 + 719 = 772
71 + 701 = 772
89 + 683 = 772
113 + 659 = 772
131 + 641 = 772

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Macron

U+0304

Non-spacing mark (Mn)

UTF-8 encoding: CC 84 (2 bytes).

Lookup U+0304 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000304

RGB(0, 3, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.4.

Address: 0.0.3.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.4

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 772

The number 772 is an active NANP area code (North American Numbering Plan).

Primary area: Port St. Lucie / Stuart
Region: Florida
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 772 ↗